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Jun 29, 2018
06/18

by
Matthew M. Lin; Chun-Yueh Chiang

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This work is to propose an iterative method of choice to compute a stable subspace of a regular matrix pencil. This approach is to define a sequence of matrix pencils via particular left null spaces. We show that this iteration preserves a discrete-type flow depending only on the initial matrix pencil. Via this recursion relationship, we propose an accelerated iterative method to compute the stable subspace and use it to provide a theoretical result to solve the principal square root of a given...

Topics: Numerical Analysis, Mathematics

Source: http://arxiv.org/abs/1609.00581

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Jun 29, 2018
06/18

by
Fabio Bagarello; Naomichi Hatano

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We propose a $PT$-symmetrically deformed version of the graphene tight-binding model under a magnetic field. We analyze the structure of the spectra and the eigenvectors of the Hamiltonians around the $K$ and $K'$ points, both in the $PT$-symmetric and $PT$-broken regions. In particular we show that the presence of the deformation parameter $V$ produces several interesting consequences, including the asymmetry of the zero-energy states of the Hamiltonians and the breakdown of the completeness...

Topics: Mesoscale and Nanoscale Physics, Mathematical Physics, Condensed Matter, Mathematics

Source: http://arxiv.org/abs/1609.00665

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수경쌤이 애니메이션 감독님이라는 것은 다들 알고계신가요? 애니메이션에 관심있는 구독자분들 모두 귀 쫑긋! 수경쌤이 설명해주시는 애니메이션 제작의 과정, 그리고 수경쌤이 공동연출로 참여하신 그리고 의 캐릭터 탄생 비화를 영상 속에서 확인해보세요 :) 수경화실은 여러분이 하는 모든 SNS에 상주하고 있습니다. 유튜브 영상강좌 http://youtube.com/c/blueline0805 네이버 카페...

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Jun 29, 2018
06/18

by
Ian W Roxburgh

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The differences between the oscillation frequencies and uncertainty estimates of a star derived by different fitters can be large, sufficiently large so that, were one to find a stellar model that fitted one frequency set ($\chi^2\sim 1$), it does not fit an alternative set. I give 21 examples, comparing frequency sets in common between the Kepler Legacy project and frequency sets from Appourchaux et al (2014) and Davies et al (2015). For 16CygA&B the differences are large; the $\chi^2$ of...

Topics: Astrophysics, Solar and Stellar Astrophysics

Source: http://arxiv.org/abs/1609.00568

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Jun 29, 2018
06/18

by
Delphine Hypolite; Stéphane Mathis; Michel Rieutord

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The internal rotation of low mass stars all along their evolution is of primary interest when studying their rotational dynamics, internal mixing and magnetic fields generation. In this context, helio- and asteroseismology probe angular velocity gradients deep within solar type stars. Still the rotation of the close center of such stars on the main sequence is hardly detectable and the dynamical interactions of the radiative core with the surface convective envelope is not well understood....

Topics: Astrophysics, Solar and Stellar Astrophysics

Source: http://arxiv.org/abs/1609.00592

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Jun 29, 2018
06/18

by
Clifford Cheung; Anton de la Fuente; Raman Sundrum

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We reformulate the scattering amplitudes of 4D flat space gauge theory and gravity in the language of a 2D CFT on the celestial sphere. The resulting CFT structure exhibits an OPE constructed from 4D collinear singularities, as well as infinite-dimensional Kac-Moody and Virasoro algebras encoding the asymptotic symmetries of 4D flat space. We derive these results by recasting 4D dynamics in terms of a convenient foliation of flat space into 3D Euclidean AdS and Lorentzian dS geometries....

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology, General Relativity and Quantum...

Source: http://arxiv.org/abs/1609.00732

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1.0

Jun 29, 2018
06/18

by
Pushpam Aji John; Rudolf Agren; Yu-Jung Chen; Christian Rohner; Edith Ngai

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Today 2.4 GHz based wireless sensor networks are increasing at a tremendous pace, and are seen in widespread applications. Product innovation and support by many vendors in 2.4 GHz makes it a preferred choice, but the networks are prone to issues like interference, and range issues. On the other hand, the less popular 868 MHz in the ISM band has not seen significant usage. In this paper we explore the use of 868 MHz channel to implement a wireless sensor network, and study the efficacy of this...

Topics: Networking and Internet Architecture, Computing Research Repository

Source: http://arxiv.org/abs/1609.00475

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Jun 29, 2018
06/18

by
Ralf Lübben; Markus Fidler

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Closed-loop flow control protocols, such as the prominent implementation TCP, are prevalent in the Internet, today. TCP has continuously been improved for greedy traffic sources to achieve high throughput over networks with large bandwidth delay products. Recently, the increasing use for streaming and interactive applications, such as voice and video, has shifted the focus towards its delay performance. Given the need for real-time communication of non-greedy sources via TCP, we present an...

Topics: Networking and Internet Architecture, Computing Research Repository

Source: http://arxiv.org/abs/1609.00653

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2.0

Jun 29, 2018
06/18

by
Markus Wagner; Marius Lindauer; Mustafa Misir; Samadhi Nallaperuma; Frank Hutter

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Many real-world problems are composed of several interacting components. In order to facilitate research on such interactions, the Traveling Thief Problem (TTP) was created in 2013 as the combination of two well-understood combinatorial optimization problems. With this article, we contribute in four ways. First, we create a comprehensive dataset that comprises the performance data of 21 TTP algorithms on the full original set of 9720 TTP instances. Second, we define 55 characteristics for all...

Topics: Artificial Intelligence, Computing Research Repository

Source: http://arxiv.org/abs/1609.00462

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Jun 29, 2018
06/18

by
Mattia Ornaghi

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In this paper we will prove that the $\mbox{A}_{\infty}$-nerve of two quasi-equivalent $\mbox{A}_{\infty}$-categories are weak-equivalent in the Joyal model structure, a consequence of this fact is that the $\mbox{A}_{\infty}$-nerve of a pretriangulated $\mbox{A}_{\infty}$-category is $\infty$-stable. Moreover we give a comparison between the notions of pretriangulated $\mbox{A}_{\infty}$-categories, pretriangulated dg-categories and $\infty$-stable categories.

Topics: Category Theory, Algebraic Geometry, Mathematics

Source: http://arxiv.org/abs/1609.00566

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Jun 29, 2018
06/18

by
Morakot Choetkiertikul; Hoa Khanh Dam; Truyen Tran; Trang Pham; Aditya Ghose; Tim Menzies

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Although there has been substantial research in software analytics for effort estimation in traditional software projects, little work has been done for estimation in agile projects, especially estimating user stories or issues. Story points are the most common unit of measure used for estimating the effort involved in implementing a user story or resolving an issue. In this paper, we offer for the \emph{first} time a comprehensive dataset for story points-based estimation that contains 23,313...

Topics: Machine Learning, Software Engineering, Statistics, Computing Research Repository, Learning

Source: http://arxiv.org/abs/1609.00489

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0.0

Jun 29, 2018
06/18

by
S. A. Gilchrist; D. C. Braun; G. Barnes

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Magnetohydrostatic models of the solar atmosphere are often based on idealized analytic solutions because the underlying equations are too difficult to solve in full generality. Numerical approaches, too, are often limited in scope and have tended to focus on the two-dimensional problem. In this article we develop a numerical method for solving the nonlinear magnetohydrostatic equations in three dimensions. Our method is a fixed-point iteration scheme that extends the method of Grad and Rubin...

Topics: Astrophysics, Solar and Stellar Astrophysics

Source: http://arxiv.org/abs/1609.00733

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0.0

Jun 29, 2018
06/18

by
Antonio Cesarano; FIlomena Ferrucci; Mario Torre

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A heuristic extending the Squarified Treemap technique for the representation of hierarchical information as treemaps is presented. The original technique gives high quality treemap views, since items are laid out with rectangles that approximate squares, allowing easy comparison and selection operations. New key steps, with a low computational impact, have been introduced to yield treemaps with even better aspect ratios and higher homogeneity among items.

Topics: Human-Computer Interaction, Graphics, Computing Research Repository

Source: http://arxiv.org/abs/1609.00754

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2.0

Jun 29, 2018
06/18

by
Nan Wang; Blesson Varghese; Peter D. Donnelly

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Gun related violence is a complex issue and accounts for a large proportion of violent incidents. In the research reported in this paper, we set out to investigate the pro-gun and anti-gun sentiments expressed on a social media platform, namely Twitter, in response to the 2012 Sandy Hook Elementary School shooting in Connecticut, USA. Machine learning techniques are applied to classify a data corpus of over 700,000 tweets. The sentiments are captured using a public sentiment score that...

Topics: Computing Research Repository, Social and Information Networks

Source: http://arxiv.org/abs/1609.00536

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0.0

Jun 29, 2018
06/18

by
A. Poux; Z. R. Wasilewski; K. J. Friedland; R. Hey; K. H. Ploog; R. Airey; P. Plochocka; D. K. Maude

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Intra Landau level thermal activation, from localized states in the tail, to delocalized states above the mobility edge in the same Landau level, explains the $B_c(T)$ (half width of the dissipationless state) phase diagram for a number of different quantum Hall samples with widely ranging carrier density, mobility and disorder. Good agreement is achieved over $2-3$ orders of magnitude in temperature and magnetic field for a wide range of filling factors. The Landau level width is found to be...

Topics: Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1609.00485

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Jun 29, 2018
06/18

by
San Pham; Jo Devriendt; Maurice Bruynooghe; Patrick De Causmaecker

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The IDP knowledge base system currently uses MiniSAT(ID) as its backend Constraint Programming (CP) solver. A few similar systems have used a Mixed Integer Programming (MIP) solver as backend. However, so far little is known about when the MIP solver is preferable. This paper explores this question. It describes the use of CPLEX as a backend for IDP and reports on experiments comparing both backends.

Topics: Artificial Intelligence, Computing Research Repository

Source: http://arxiv.org/abs/1609.00759

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2.0

Jun 29, 2018
06/18

by
Xiaolong Zhang; Songxin Liang

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In this paper, a new analytic method with a convergence-control parameter $c$ is first proposed. The parameter $c$ is used to adjust and control the convergence region and rate of the resulting series solution. It turns out that the convergence region and rate can be greatly enlarged by choosing a proper value of $c$. Furthermore, a numerical approach for finding the optimal value of the convergence-control parameter is given. At the same time, it is found that the traditional Adomian...

Topics: Physics, Numerical Analysis, Computational Physics, Mathematics

Source: http://arxiv.org/abs/1609.01550

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1.0

Jun 29, 2018
06/18

by
Amar Kumar Banerjee; Rahul Mondal

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In this paper we have shown that a double sequence in a topological space satisfies certain conditions which in turn are capable to generate a topology on a non empty set. Also we have used the idea of I-convergence of double sequences to study the idea of I-sequentially compactness [3] in the sense of double sequences.

Topics: General Topology, Mathematics

Source: http://arxiv.org/abs/1609.00571

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0.0

Jun 29, 2018
06/18

by
Dmitry Ostrovsky

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A multiple integral representation of single and joint moments of the total mass of the limit log-infinitely divisible stochastic measure of Bacry and Muzy [$\textit{Comm. Math. Phys.}$ ${\bf 236}$: 449-475, 2003] is derived. The covariance structure of the total mass of the measure is shown to be logarithmic. A generalization of the Selberg integral corresponding to single moments of the limit measure is proposed and shown to satisfy a recurrence relation. The joint moments of the limit...

Topics: Probability, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1609.00666

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0.0

Jun 29, 2018
06/18

by
Minwoo Chae; Stephen G. Walker

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It has been an open problem [Saad (2003)] to find an iterative method that can solve an arbitrary sparse linear system $Ax = b$ in an efficient way (i.e. guaranteed convergence at geometric rate). We propose a novel iterative algorithm which can be applied to a large sparse linear system and guarantees convergence for any consistent (i.e. it has a solution) linear system. Moreover, the algorithm is highly stable, fast, easy to code and does not require further constraints on $A$ other than that...

Topics: Numerical Analysis, Mathematics

Source: http://arxiv.org/abs/1609.00670

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0.0

Jun 29, 2018
06/18

by
Tao Yin; Liwei Xu

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We consider the finite element method solving a fluid-solid interaction (FSI) problem in two dimensions. The original problem is reduced to an equivalent nonlocal boundary value problem through an exact Dirichlet-to-Neumann (DtN) mapping defined on an artificial boundary enclosing the solid. The solvability results are established for the corresponding variational problem and its modified form resulting from truncation of the DtN mapping. Regarding to the numerical solutions, we derive a priori...

Topics: Numerical Analysis, Mathematics

Source: http://arxiv.org/abs/1609.00583

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0.0

Jun 29, 2018
06/18

by
Zhenan Wang

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Under general conditions we show an a priori probabilistic Harnack inequality for the non-negative solution of a stochastic partial differential equation of the following form d_tu = div (A\nabla u) + f (t, x, u;w) + g_i(t, x, u;w)\dot{w}^i_t. We will also show that the solution of the above equation will be almost surely strictly positive if the initial condition is non-negative and not identically vanishing.

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1609.00769

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Jun 29, 2018
06/18

by
Guillermo Gonzalez

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We revisit the photometric variability of stars in the M 67 field using Kepler/K2-Campaign-5 light curves. In our previous work, we limited the search area around M\,67 to that of a recent ground-based study. In the present work, we expand the search area and apply a more rigorous period-finding algorithm to determine the rotation periods of 98 main sequence cluster members from the same data. In addition, we derive periods of 40 stars from the K2SC detrended light curves. We determine the mean...

Topics: Astrophysics, Solar and Stellar Astrophysics

Source: http://arxiv.org/abs/1609.00601

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0.0

Jun 29, 2018
06/18

by
Yi-Hui Zhou

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The problem of testing changes in covariance has received increasing attention in recent years, especially in the context of high-dimensional testing. A number of approaches have been proposed, all limited to the two-sample problem and involving varying statistics and assumptions on the number of features $p$ vs. the sample size $n$. There are no general approaches to test association of covariances with a continuous outcome. We propose a uniform framework for testing association of covariances...

Topics: Methodology, Statistics

Source: http://arxiv.org/abs/1609.00736

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Jun 29, 2018
06/18

by
Shupeng Gui; Rui Chen; Liang Wu; Ji Liu; Hongyu Miao

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Motivation: Gene regulatory interactions are of fundamental importance to various biological functions and processes. However, only a few previous computational studies have claimed success in revealing genome-wide regulatory landscapes from temporal gene expression data, especially for complex eukaryotes like human. Moreover, recent work suggests that these methods still suffer from the curse of dimensionality if network size increases to 100 or higher. Result: We present a novel scalable...

Topics: Molecular Networks, Quantitative Biology

Source: http://arxiv.org/abs/1609.00779

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1.0

Jun 29, 2018
06/18

by
Z. -E. Meziani; S. Joosten; M. Paolone; E. Chudakov; M. Jones; K. Adhikari; K. Aniol; W. Armstrong; J. Arrington; A. Asaturyan; H. Atac; S. Bae; H. Bhatt; D. Bhetuwal; J. -P. Chen; X. Chen; H. Choi; S. Choi; M. Diefenthaler; J. Dunne; R. Dupré; B. Duran; D. Dutta; L. El-Fassi; Q. Fu; H. Gao; H. Go; C. Gu; J. Ha; K. Hafidi; O. Hansen; M. Hattawy; D. Higinbotham; G. M. Huber; P. Markowitz; D. Meekins; H. Mkrtchyan; R. Nouicer; W. Li; X. Li; T. Liu; C. Peng; L. Pentchev; E. Pooser; M. Rehfuss; N. Sparveris; V. Tadevosyan; R. Wang; F. R. Wesselmann; S. Wood; W. Xiong; X. Yan; L. Ye; Z. Ye; A. Zafar; Y. Zhang; F. Zhao; Z. Zhao; S. Zhamkochyana

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We propose to measure the photo-production cross section of $J/{\psi}$ near threshold, in search of the recently observed LHCb hidden-charm resonances $P_c$(4380) and $P_c$(4450) consistent with 'pentaquarks'. The observation of these resonances in photo-production will provide strong evidence of the true resonance nature of the LHCb states, distinguishing them from kinematic enhancements. A bremsstrahlung photon beam produced with an 11 GeV electron beam at CEBAF covers the energy range of...

Topics: Nuclear Experiment, High Energy Physics - Experiment

Source: http://arxiv.org/abs/1609.00676

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0.0

Jun 29, 2018
06/18

by
A. Chambolle; B. Merlet; L. Ferrari

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In this paper we consider the branched transportation problem in 2D associated with a cost per unit length of the form $1 + \alpha m$ where $m$ denotes the amount of transported mass and $\alpha > 0$ is a fixed parameter (notice that the limit case $\alpha = 0$ corresponds to the classical Steiner problem). Motivated by the numerical approximation of this problem, we introduce a family of functionals $(\{F_\epsilon\}_{\epsilon>0})$ which approximate the above branched transport energy. We...

Topics: Analysis of PDEs, Mathematics

Source: http://arxiv.org/abs/1609.00519

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Jun 29, 2018
06/18

by
Pierre A. Haas; Raymond E. Goldstein; Stoyan K. Smoukov; Diana Cholakova; Nikolai Denkov

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Recent studies of cooled oil emulsion droplets uncovered transformations into a host of flattened shapes with straight edges and sharp corners, driven by a partial phase transition of the bulk liquid phase. Here, we explore theoretically the simplest geometric competition between this phase transition and surface tension in planar polygons, and recover the observed sequence of shapes and their statistics in qualitative agreement with experiments. Extending the model to capture some of the...

Topics: Soft Condensed Matter, Condensed Matter

Source: http://arxiv.org/abs/1609.00584

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0.0

Jun 29, 2018
06/18

by
N. Yedukondalu; G. Vaitheeswaran

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We report the structural, elastic and vibrational properties of five ionic-molecular solid oxidizers MNO$_3$ (M = Li, Na, K) and MClO$_3$ (M = Na, K). By treating long range electron-correlation effects, dispersion corrected method leads to more accurate predictions of structural properties and phase stability of KNO$_3$ polymorphs. The obtained elastic moduli show soft nature of these materials and are consistent with Ultrasonic Pulse Echo measurements. We made a complete assignment of...

Topics: Materials Science, Condensed Matter

Source: http://arxiv.org/abs/1609.00473

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Jun 29, 2018
06/18

by
Ding Yuan; Robert W. Walsh

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A sunspot acts as a waveguide in response to the dynamics of the solar interior; the trapped waves and oscillations could reveal its thermal and magnetic structures. We study the oscillations in a sunspot intruded by a light bridge, the details of the oscillations could reveal the fine structure of the magnetic topology. We use the Solar Dynamics Observatory/Atmospheric Imaging Assembly data to analyse the oscillations in the emission intensity of light bridge plasma at different temperatures...

Topics: Astrophysics, Solar and Stellar Astrophysics

Source: http://arxiv.org/abs/1609.00596

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Jun 29, 2018
06/18

by
Scott A. Bruce; Martica H. Hall; Daniel J. Buysse; Robert T. Krafty

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Many studies of biomedical time series signals aim to measure the association between frequency-domain properties of time series and clinical and behavioral covariates. However, the time-varying dynamics of these associations are largely ignored due to a lack of methods that can assess the changing nature of the relationship through time. This article introduces a method for the simultaneous and automatic analysis of the association between the time-varying power spectrum and covariates. The...

Topics: Methodology, Applications, Statistics

Source: http://arxiv.org/abs/1609.00696

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1.0

Jun 29, 2018
06/18

by
Ioannis G. Tollis; Konstantinos G. Kakoulis

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We study the problem of visualizing phylogenetic networks, which are extensions of the Tree of Life in biology. We use a space filling visualization method, called DAGmaps, in order to obtain clear visualizations using limited space. In this paper, we restrict our attention to galled trees and galled networks and present linear time algorithms for visualizing them as DAGmaps.

Topics: Data Structures and Algorithms, Computing Research Repository

Source: http://arxiv.org/abs/1609.00755

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Jun 29, 2018
06/18

by
Peter A. Clarkson; Chun-Kong Law; Chia-Hua Lin

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We are concerned with the Umemura polynomials associated with the third Painlev\'e equation. We extend Taneda's method, which was developed for the Yablonskii--Vorob'ev polynomials associated with the second Painlev\'e equation, to give an algebraic proof that the rational functions generated by the nonlinear recurrence relation satisfied by Umemura polynomials are indeed polynomials.

Topics: Exactly Solvable and Integrable Systems, Classical Analysis and ODEs, Nonlinear Sciences,...

Source: http://arxiv.org/abs/1609.00495

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Jun 29, 2018
06/18

by
César Martínez; Martín Sombra

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We present an upper bound for the height of the isolated zeros in the torus of a system of Laurent polynomials over an adelic field satisfying the product formula. This upper bound is expressed in terms of the mixed integrals of the local roof functions associated to the chosen height function and to the system of Laurent polynomials. We also show that this bound is close to optimal in some families of examples. This result is an arithmetic analogue of the classical Bern\v{s}tein-Ku\v{s}nirenko...

Topics: Number Theory, Algebraic Geometry, Mathematics

Source: http://arxiv.org/abs/1609.00509

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Jun 29, 2018
06/18

by
Bojan Basrak; Hrvoje Planinic; Philippe Soulier

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We prove a sequence of limiting results about weakly dependent stationary and regularly varying stochastic processes in discrete time. After deducing the limiting distribution for individual clusters of extremes, we present a new type of point process convergence theorem. It is designed to preserve the entire information about the temporal ordering of observations which is typically lost in the limit after time scaling. By going beyond the existing asymptotic theory, we are able to prove a new...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1609.00687

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Jun 29, 2018
06/18

by
Barry R. Holstein

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We demonstrate that the use of analytical on-shell methods involving calculation of the discontinuity across the t-channel cut associated with the exchange of a pair of massless particles (photons or gravitons) can be used to evaluate one-loop contributions to electromagnetic and gravitational scattering, with and without polarizability, reproducing via simple algebraic manipulations, results obtained previously, generally using Feynman diagram techniques. In the gravitational case the use of...

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology, General Relativity and Quantum...

Source: http://arxiv.org/abs/1609.00714

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Jun 29, 2018
06/18

by
Eric A. Carlen; Raffaelle Esposito; Joel L. Lebowitz; Rossana Marra; Clement Mouhot

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We continue the investigation of kinetic models of a system in contact via stochastic interactions with several spatially homogeneous thermal reservoirs at different temperatures. Considering models different from those investigated in earlier work, we explicitly compute the unique spatially uniform non-equilibrium steady state (NESS) and prove that it is approached exponentially fast from any uniform initial state. This leaves open the question of whether there exist NESS that are not...

Topics: Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1609.00580

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Jun 29, 2018
06/18

by
Livio Flaminio; Krzysztof Frączek; Joanna Kułaga-Przymus; Mariusz Lemańczyk

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Let $ G $ be a connected, simply connected nilpotent Lie group and $ \Gamma < G $ a lattice. We prove that each ergodic diffeomorphism $ \phi(x\Gamma)=uA(x)\Gamma $ on the nilmanifold $ G/\Gamma $, where $ u\in G $ and $ A:G\to G $ is a unipotent automorphism satisfying $ A(\Gamma)=\Gamma $, enjoys the property of asymptotically orthogonal powers (AOP). Two consequences follow: (i) Sarnak's conjecture on M\"obius orthogonality holds in every uniquely ergodic model of an ergodic affine...

Topics: Dynamical Systems, Mathematics

Source: http://arxiv.org/abs/1609.00699

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Jun 29, 2018
06/18

by
B. Franzon; S. Schramm

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In view of the new recent observation and measurement of the rotating and highly-magnetized white dwarf AR Scorpii \cite{Marsh:2016uhc}, we determine bounds of its moment of inertia, magnetic fields and radius. Moreover, we investigate the possibility of fast rotating and/or magnetized white dwarfs to be source of detectable gravitational wave (GW) emission. Numerical stellar models at different baryon masses are constructed. For each star configuration, we compute self-consistent relativistic...

Topics: Astrophysics, High Energy Astrophysical Phenomena, Solar and Stellar Astrophysics

Source: http://arxiv.org/abs/1609.00493

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Jun 29, 2018
06/18

by
I. M. Verloop

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We study the asymptotic optimal control of multi-class restless bandits. A restless bandit is a controllable stochastic process whose state evolution depends on whether or not the bandit is made active. Since finding the optimal control is typically intractable, we propose a class of priority policies that are proved to be asymptotically optimal under a global attractor property and a technical condition. We consider both a fixed population of bandits as well as a dynamic population where...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1609.00563

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Jun 29, 2018
06/18

by
Hari Krovi; Saikat Guha; Jeffrey H. Shapiro

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We consider the problem, where a camera is tasked with determining one of two hypotheses: first with an incoherently-radiating quasi-monochromatic point source and the second with two identical closely spaced point sources. We are given that the total number of photons collected over an integration time is assumed to be the same under either hypothesis. For the one-source hypothesis, the source is taken to be on-axis along the line of sight and for the two-source hypothesis, we give ourselves...

Topics: Quantum Physics, Optics, Physics

Source: http://arxiv.org/abs/1609.00684

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Jun 29, 2018
06/18

by
Johan Taflin

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Let $f$ be a holomorphic endomorphism of $\mathbb P^k$ of degree $d.$ For each quasi-attractor of $f$ we construct a finite set of currents with attractive behaviors. To every such an attracting current is associated an equilibrium measure which allows for a systematic ergodic theoretical approach in the study of quasi-attractors of $\mathbb P^k.$ As a consequence, we deduce that there exist at most countably many quasi-attractors, each one with topological entropy equal to a multiple of $\log...

Topics: Complex Variables, Dynamical Systems, Mathematics

Source: http://arxiv.org/abs/1609.00605

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Jun 29, 2018
06/18

by
Adrian Kosowski; Laurent Viennot

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The goal of a hub-based distance labeling scheme for a network G = (V, E) is to assign a small subset S(u) $\subseteq$ V to each node u $\in$ V, in such a way that for any pair of nodes u, v, the intersection of hub sets S(u) $\cap$ S(v) contains a node on the shortest uv-path. The existence of small hub sets, and consequently efficient shortest path processing algorithms, for road networks is an empirical observation. A theoretical explanation for this phenomenon was proposed by Abraham et al....

Topics: Data Structures and Algorithms, Distributed, Parallel, and Cluster Computing, Computing Research...

Source: http://arxiv.org/abs/1609.00512

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Jun 29, 2018
06/18

by
Marc D. Ryser; Kevin A. Murgas

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Bone remodeling is a complex process involving cell-cell interactions, biochemical signaling and mechanical stimuli. Early models of the biological aspects of remodeling were non-spatial and focused on the local dynamics at a fixed location in the bone. Several spatial extensions of these models have been proposed, but they generally suffer from two limitations: first, they are not amenable to analysis and are computationally expensive, and second, they neglect the role played by bone-embedded...

Topics: Quantitative Biology, Populations and Evolution

Source: http://arxiv.org/abs/1609.00620

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Jun 29, 2018
06/18

by
Simon Caron-Huot; Lance J. Dixon; Andrew McLeod; Matt von Hippel

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The analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these relations dramatically simplify the function space for the hexagon function bootstrap in planar maximally supersymmetric Yang-Mills theory. Armed with this simplification, along with the constraints of dual conformal symmetry and Regge exponentiation, we obtain the complete five-loop six-particle amplitude.

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1609.00669

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Jun 29, 2018
06/18

by
Alexis Drouot

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We study the eigenvalues of Schr\"odinger operators on $\mathbb{R}^2$ with rapidly oscillatory potential $V(x) = W(x,x/\varepsilon)$, where $W(x,y) \in C^\infty_0(\mathbb{R}^2 \times \mathbb{T}^2)$ satisfies $\int_{\mathbb{T}^2} W(x,y) dy =0$. We show that for $\varepsilon$ small enough, such operators have a unique negative eigenvalue, that is exponentially close to $0$.

Topics: Spectral Theory, Analysis of PDEs, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1609.00757

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Jun 29, 2018
06/18

by
Mario Levorato; Yuri Frota

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In this work, we study the behavior of Brazilian politicians and political parties with the help of clustering algorithms for signed social networks. For this purpose, we extract and analyze a collection of signed networks representing voting sessions of the lower house of Brazilian National Congress. We process all available voting data for the period between 2011 and 2016, by considering voting similarities between members of the Congress to define weighted signed links. The solutions...

Topics: Physics and Society, Physics, Computing Research Repository, Social and Information Networks

Source: http://arxiv.org/abs/1609.00767

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Jun 29, 2018
06/18

by
Vaitheeswaran G; Kanchana V; Zhang X; Ma Y; Svane A; Christensen NE

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A detailed study of the high-pressure structural properties, lattice dynamics and band structures of perovskite structured fluorides KZnF3, CsCaF3 and BaLiF3 has been carried out by means of density functional theory. The calculated structural properties including elastic constants and equation of state agree well with available experimental information. The phonon dispersion curves are in good agreement with available experimental inelastic neutron scattering data. The electronic structures of...

Topics: Materials Science, Condensed Matter

Source: http://arxiv.org/abs/1609.00541

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Jun 29, 2018
06/18

by
Juan J. Ceron-Hurtado; Jian-hua He; Baojiu Li

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Modified gravity theories are a popular alternative to dark energy as a possible explanation for the observed accelerating cosmic expansion, and their cosmological tests are currently an active research field. Studies in recent years have been increasingly focused on testing these theories in the nonlinear regime, which is computationally demanding. Here we show that, under certain circumstances, a whole class of theories can be ruled out by using background cosmology alone. This is possible...

Topics: Astrophysics, Cosmology and Nongalactic Astrophysics

Source: http://arxiv.org/abs/1609.00532

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Jun 29, 2018
06/18

by
Chen-Yen Lai; Chih-Chun Chien

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While batteries offer electronic source and sink in electronic devices, atomic analogues of source and sink and their theoretical descriptions have been a challenge in cold-atom systems. Here we consider dynamically emerged local potentials as controllable source and sink for bosonic atoms. Although a sink potential can collect bosons in equlibrium and indicate its usefulness in the adiabatic limit, sudden switching of the potential exhibits low effectiveness in pushing bosons into it. This is...

Topics: Quantum Physics, Condensed Matter, Quantum Gases

Source: http://arxiv.org/abs/1609.00468